UCLA Olga Radko Endowed Math Circle

ORMC Meetings • 2024-2025 Academic Year

 Search handouts:

For meetings prior to Fall 2024, visit the Circle Archive.

Advanced 1AAdvanced 1BAdvanced 2AAdvanced 2BAdvanced 3AMC 10/12AMC 8Beginners 1ABeginners 1BBeginners 1C
Beginners 2ABeginners 2BBeginners 2CChess clubIntermediate 1AIntermediate 1BIntermediate 2AIntermediate 2BOlympiads
9/29/2024

Students will study applications of probability theory to decision making, hiring problems in particular.

Handouts: Handout | Solutions
10/6/2024
Handouts: Handout | Solutions
10/13/2024
Handouts: Handout | Solutions
10/20/2024
Handouts: Handout | Solutions
10/27/2024
Handouts: Handout | Solutions
11/3/2024
Handouts: Handout | Solutions
11/17/2024
Handouts: Handout | Solutions
11/24/2024
Handouts: Handout | Solutions
12/8/2024

We explore how financial markets combine and influence each other, especially through the role of arbitrage - the process of finding and taking advantage of price differences across markets. We describe how markets share striking similarities to thermodynamic systems. This perspective helps us see how the process of combining markets can lead to a "market entropy," a measure of lost liquidity when markets aggregate quantifying price uncertainty. Finally, we examine how this theory unifies two perspectives of a market: one as an exchange mechanism and the other as a venue for interaction among traders. The talk is aimed at a general audience.